In fig:S8 we have summarized the constraints on the \(S_8\)  parameter extracted out of all the extended cosmological models using CMB, CMB+BAO, CMB+Pantheon and CMB+BAO+Pantheon together with the estimated values of \(S_8\)  from Kilo-Degree Survey (KIDS-1000) [\(S_8 = 0.766^{+0.020}_{-0.014}\) ] [1]}, Dark Energy Survey (DES) Year 3 data (DES-Y3)
[\(S_8 = 0.759^{+0.025}_{-0.023}\) ] [2]} and Planck \(S_8=0.834 \pm 0.016\)  [3]}, all obtained by assuming a \(\Lambda \) CDM scenario as the underlying model.
